Solution Found!
Use the idea from Exercise 53 to find the derivative of
Chapter 4, Problem 54E(choose chapter or problem)
Problem 54E
Use the idea from Exercise 53 to find the derivative of the of the following function:
h(x) = xx
REFERENCE EXERCISE:
Let .
a. Using the fact thatuse the chain rule, the product rule, and the formula for the derivative of ln x to show that
b. Use the result from part a and the fact that
to show that
The idea of taking the logarithm of a function before differentiating is known as logarithmic differentiation.
Questions & Answers
QUESTION:
Problem 54E
Use the idea from Exercise 53 to find the derivative of the of the following function:
h(x) = xx
REFERENCE EXERCISE:
Let .
a. Using the fact thatuse the chain rule, the product rule, and the formula for the derivative of ln x to show that
b. Use the result from part a and the fact that
to show that
The idea of taking the logarithm of a function before differentiating is known as logarithmic differentiation.
ANSWER:
Solution:
Step 1 of 2:
In this problem, we need to find the derivative of the function